This ebook contains the following topics: Mathematical Models and Numerical Approximations, Numerical Computation, References, Sources of Error, Basic Concepts, Error Propagation, Number Representation, Rounding Errors in Floating Point, Arithmetic Operations in Floating Point, Accumulated Errors, IEEE Standard, Introduction, Remainder Term Estimates, Standard Functions, Range Reduction, Trigonometric Functions, Introduction, Crude Localization, Iteration Methods, Convergence Analysis, Error Estimation and StoppingCriteria, Algebraic Equations, Square Root, Nonlinear Systems, Introduction, Interpolation by Polynomials, Linear Interpolation, Lagrange Interpolation, Hermite Interpolation, Splines, Linear Spline Functions, Cubic Splines, Introduction, Richardson Extrapolation, Introduction, Trapezoidal Rule, Adaptive Quadrature, Introduction, Triangular Systems, Gaussian Elimination, Pivoting, LU Factorization, Band Matrices, Inverse Matrix, Vector and Matrix Norms, Sensitivity Analysis, Rounding Errors, Estimation of Condition Number, Overdetermined Systems, QR Factorization, Introduction, Important Concepts, Least Squares Method, Orthogonal Functions, Orthogonal Polynomials, Legendre Polynomials, Chebyshev Polynomials, Discrete Cosine Transform, Minimax Approximation, Introduction, Initial Value Problems, Local and Global Error, An Implicit Method, Stability, Adaptive Step Length Control, Boundary Value Problems, A Finite Element Method, The Shooting Method, Mathematical Models and Numerical Approximations
Author(s): Lars Elden Linde Wittmeyer-Koch Hans Bruun Nielsen
383Pages
This note explains the following topics: Numerical linear algebra, nonlinear optimization, nonlinear least squares, introduction to floating point numbers and rounding error, examples from signal and image processing, control, machine learning.
Author(s): Prof. L. Vandenberghe
NAPages
This note introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation, integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches.
Author(s): Prof. Anthony T. Patera, Prof. Daniel Frey and Prof. Nicholas Hadjiconstantinou
NAPages
This note explains the following topics: computing with Matrices and Vectors, Direct Methods for Linear Systems of Equations, DIrect Methods for Linear Least Squares Problems, Filtering Algorithms, Data Interpolation and Data Fitting in 1D, Approximation of Functions in 1D , Numerical Quadrature, Iterative Methods for Non-Linear Systems of Equations, Eigenvalues, Numerical Integration, Structure Preserving Integration.
Author(s): Prof. R. Hiptmair
839Pages
This manual describes the floating-point environment supported by software and hardware on SPARCTM and x86 platforms running the Solaris operating system.
Author(s): Sun microsystems
NAPages
These are the sample pages from the textbook. This book covers the following topics: root finding, orthogonal functions, finite differences, divided differences, interpolation, curve fitting, ztransforms, summation formula, quadrature formula, ordinary differential equations, partial differential equations, integral equations, stability and error analysis, monte carlo techniques, message passing interface, simulation modeling.
Author(s): John Henry Heinbockel
NAPages
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Author(s):
Pages
This book covers the following topics: Solution of Linear Algebraic Equations, Interpolation and Extrapolation, Evaluation of Functions, Special Functions, Random Numbers, Sorting, Root Finding and Nonlinear Sets of Equations, Minimization or Maximization of Functions, Eigensystems, Fourier and Spectral Applications, Statistical Description of Data, Integral Equations and Inverse Theory.
Author(s): NA
NAPages
This book covers the following topics: Solution of Linear Algebraic Equations, Interpolation and Extrapolation, Evaluation of Functions, Special Functions, Random Numbers, Sorting, Root Finding and Nonlinear Sets of Equations, Minimization or Maximization of Functions, Eigensystems, Fast Fourier Transform, Modeling of Data, Integration of Ordinary Differential Equations, Partial Differential Equations and Less-Numerical Algorithms .
Author(s): NA
NAPages
This book covers the following topics: Introduction to Fortran 90 Language Features, Introduction to Parallel Programming , Numerical Recipes Utility Functions for Fortran 90 , Solution of Linear Algebraic Equations, Interpolation and Extrapolation, Integration of Functions, Evaluation of Functions, Special Functions, Random Numbers, Sorting, Root Finding and Nonlinear Sets of Equations.
Author(s): NA
NAPages
Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new developments in numerical analysis and scientific computing. Papers of the highest quality that deal with the analysis of algorithms for the solution of continuous models and numerical linear algebra are appropriate for ETNA, as are papers of similar quality that discuss implementation and performance of such algorithms.
Author(s): Kent State University
NAPages
This book covers the following topics: Computers for which LAPACK is Suitable, LAPACK Compared with LINPACK and EISPACK, LAPACK and the BLAS, Availability of LAPACK, Commercial Use of LAPACK, Installation of LAPACK, Documentation for LAPACK, Support for LAPACK and Errata in LAPACK.
Author(s): E. Anderson , Z. Bai , C. Bischof , L. S. Blackford , J. Demmel , J. Dongarra , J. Du Croz , A. Greenbaum , S. Hammarling , A. McKenney and D. Sorensen
NAPages
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